pn is the ordinate of any point p on the parabola

Question

pn is the ordinate of any point p on the parabola y^2=4x. if the normal at p to the parabola its axis at g then find ng.

kkbisht · Accepted Answer

Equation of normal at P (t2,2t) ( a parametric coordinate of a parabola y2=4x with vertex at origin) is given by y +tx=2t+t3 Now this normal meets the axis of parabola ( Y=0 ) at 0+tx=2t+t3 => x=2+t2 ( cancelling t) .This is the point g i.e. og=2+t2 and the ordinate of the point P is 2t and the x-cordinte is t2 i.e on=t2 ( o is the origin as well as vertex of the parabola) therefore ng=og-on=2+t2-t2=2therefore the length ng=2 kkbisht

Analytical Geometry> pn is the ordinate of any point p on the ...

pn is the ordinate of any point p on the parabola y^2=4x. if the normal at p to the parabola its axis at g then find ng.

supraja venkatraman , 6 Years ago

kkbisht

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Analytical Geometry> pn is the ordinate of any point p on the ...

pn is the ordinate of any point p on the parabola y^2=4x. if the normal at p to the parabola its axis at g then find ng.

supraja venkatraman , 6 Years ago

kkbisht

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